Circle Classification

1 Correction on New1

1.1 3 points example

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

## Warning: Removed 1996 rows containing missing values (geom_raster).

1.2 4 points example

2 Noiseless Circle

## y
##  1  2  3 
## 41 32 27

3 Noise Circle

3.1 n = 500, noise-level = 0.3

3.1.1 Ridge

## [1] 0.8 0.1 0.1

## y_noise
##   1   2   3 
## 157 172 171

3.1.2 Ridgeless

3.2 n = 500, noise-level = 0.6

3.2.1 Ridge

## [1] 0.6 0.2 0.2

## y_noise
##   1   2   3 
## 159 178 163

3.2.2 Ridgeless

3.3 n = 500, noise-level = 0.9

3.3.1 Ridge

## [1] 0.4 0.3 0.3

## y_noise
##   1   2   3 
## 173 172 155

3.3.2 Ridgeless

## Warning in unpack_problem(object, solution): Solver returned with status
## solver_error

3.4 n = 3000, noise-level = 0.9

3.4.1 Ridge

## [1] 0.4 0.3 0.3

## y_noise
##    1    2    3 
## 1048  984  968

## [1] "CS"

## [[1]]
##               [,1]          [,2] [,3]
## [1,] -1.758353e-09 -1.741441e-09    0
## [2,]  1.646819e-09  2.996531e-10    0
## [3,]  1.115341e-10  1.441788e-09    0
## 
## [[2]]
##               [,1]          [,2] [,3]
## [1,]  3.901113e-09  4.894577e-09    0
## [2,] -5.816820e-09  9.521717e-10    0
## [3,]  1.915706e-09 -5.846749e-09    0
## 
## [[3]]
##               [,1]          [,2] [,3]
## [1,]  1.283706e-08  1.456904e-08    0
## [2,] -2.086687e-08  3.905519e-09    0
## [3,]  8.029801e-09 -1.847456e-08    0
## 
## [[4]]
##               [,1]          [,2] [,3]
## [1,] -9.369489e-08 -1.222703e-07    0
## [2,]  1.224806e-07 -2.170989e-08    0
## [3,] -2.878573e-08  1.439802e-07    0
## 
## [[5]]
##               [,1]          [,2] [,3]
## [1,] -7.834479e-08 -9.543929e-08    0
## [2,]  1.121523e-07 -2.110892e-08    0
## [3,] -3.380753e-08  1.165482e-07    0

## [1] "Duchi"

## [[1]]
##            [,1]        [,2] [,3]
## [1,]  0.2394421  0.26185280    0
## [2,] -0.3412911  0.06272808    0
## [3,]  0.1018490 -0.32458088    0
## 
## [[2]]
##            [,1]        [,2] [,3]
## [1,]  0.2380099  0.26184364    0
## [2,] -0.3404937  0.06235788    0
## [3,]  0.1024838 -0.32420151    0
## 
## [[3]]
##            [,1]       [,2] [,3]
## [1,]  0.2244748  0.2599443    0
## [2,] -0.3356664  0.0575612    0
## [3,]  0.1111916 -0.3175055    0
## 
## [[4]]
##             [,1]        [,2] [,3]
## [1,]  0.07238649  0.08551675    0
## [2,] -0.10897506  0.01698310    0
## [3,]  0.03658857 -0.10249985    0
## 
## [[5]]
##              [,1]         [,2] [,3]
## [1,]  0.006772436  0.007931366    0
## [2,] -0.010161342  0.001552012    0
## [3,]  0.003388906 -0.009483378    0

## [1] "New1"

## [[1]]
##               [,1]         [,2] [,3]
## [1,]  1.305109e-10 1.187196e-09    0
## [2,] -1.832819e-10 4.720608e-10    0
## 
## [[2]]
##               [,1]         [,2] [,3]
## [1,]  2.343633e-10 1.343265e-09    0
## [2,] -2.325729e-10 3.842107e-10    0
## 
## [[3]]
##               [,1]         [,2] [,3]
## [1,]  1.589176e-07 4.127718e-07    0
## [2,] -3.545347e-07 3.766407e-07    0
## 
## [[4]]
##               [,1]         [,2] [,3]
## [1,]  3.520103e-06 1.454049e-05    0
## [2,] -6.423391e-06 8.001932e-06    0
## 
## [[5]]
##               [,1]         [,2] [,3]
## [1,]  4.313496e-06 1.717698e-05    0
## [2,] -8.407779e-06 1.028753e-05    0

3.4.2 Ridgeless

3.5 n = 3000, noise-level = 0.98

3.5.1 Ridge

## [1] 0.3466667 0.3266667 0.3266667

## y_noise
##    1    2    3 
## 1006 1031  963

3.5.2 Ridgeless